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131346200 = 23524789157
BaseRepresentation
bin1111101010000…
…10111100011000
3100011011002010002
413311002330120
5232111034300
621011112132
73153265346
oct765027430
9304132102
10131346200
1168161387
1237ba2648
132129a45b
1413630996
15b7e75d5
hex7d42f18

131346200 has 96 divisors (see below), whose sum is σ = 317390400. Its totient is φ = 50519040.

The previous prime is 131346181. The next prime is 131346203. The reversal of 131346200 is 2643131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131346203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 836522 + ... + 836678.

It is an arithmetic number, because the mean of its divisors is an integer number (3306150).

Almost surely, 2131346200 is an apocalyptic number.

131346200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131346200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158695200).

131346200 is an abundant number, since it is smaller than the sum of its proper divisors (186044200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131346200 is a wasteful number, since it uses less digits than its factorization.

131346200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 131346200 is about 11460.6369805522. The cubic root of 131346200 is about 508.3223097732.

Adding to 131346200 its reverse (2643131), we get a palindrome (133989331).

The spelling of 131346200 in words is "one hundred thirty-one million, three hundred forty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 89 94 100 157 178 188 200 235 314 356 376 445 470 628 712 785 890 940 1175 1256 1570 1780 1880 2225 2350 3140 3560 3925 4183 4450 4700 6280 7379 7850 8366 8900 9400 13973 14758 15700 16732 17800 20915 27946 29516 31400 33464 36895 41830 55892 59032 69865 73790 83660 104575 111784 139730 147580 167320 184475 209150 279460 295160 349325 368950 418300 558920 656731 698650 737900 836600 1313462 1397300 1475800 2626924 2794600 3283655 5253848 6567310 13134620 16418275 26269240 32836550 65673100 131346200